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No problem with the geekieness!
if i wanted to create a Mobius strip, i'd run a straight line round a circle and rotate it by pi in one revolution. the start and end would match up.
Yep, not so sure I would like to ride that track though :-)
You are basically describing how OpenVelodrome works, with the swept line along a curvature. Did you find the Getting started link in the left menu? Right now the curve is mirrored and then mirrored again, I.E. no way to have different transitions for the entry/exit. It's a simple feature to add though, and i'll be sure to add it in the upcoming version. It just takes another set of transition parameters (d1,d2,d3,d4).
This is really valuable information for me. The way the geometry is calculated is based on theoretical physics and should be seen as a starting point for geeky discussions. What matters is how the finished track rides, not if it's theoretically correct.
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JohanLagerlöf
so now i'm thinking this through. it's a developable/ruled surface.
WARNING - very geeky very quickly...
if i wanted to create a Mobius strip, i'd run a straight line round a circle and rotate it by pi in one revolution. the start and end would match up.
you could do the same for a bike track. sweep your 7.1 metre line from the start/finish line to the pursuit line only (half a track) and rotate up to 42 degrees max, and then back down again to your starting angle. to get the track steepness you want, where you want, you make the swept line rotation non-linear. the bend exits can be made slightly steeper than the entries with some probably quite ugly functions.
i like this a lot. thanks for posting.